Maths-
General
Easy
Question
The sides EF, FD and DE of a triangle DEF are produced in order forming three exterior angles DFP, EDQ and FER respectively Then
is
![](data:image/png;base64,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)
- 360°
- 270°
- 180°
- None of these
The correct answer is: 360°
Related Questions to study
maths-
In the given figure the side QR of
has been produced to S If
and
then ÐTRS is
![](data:image/png;base64,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)
In the given figure the side QR of
has been produced to S If
and
then ÐTRS is
![](data:image/png;base64,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)
maths-General
physics-
The displacement vector is represented by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAB+CAYAAABMOXFMAAAXXklEQVR4nO2deXQUVfbHP1XdnaU7CxCWJIQQwSQEkogatoiyK6usOijC6DiDIogMoyCi47gOyi4KyCgqh9HRUUd/rhDABVkG2UEhSMIe2clCOunuevV+f3S6h5gAATrpTqjPOX1yTqWr6nX1t++777777lOklBIDAz+i+rsBBgaGCA38jiFCA79TrSKUUlKQn4/T4UDX9eq8lUEtptpEqOs6mqbxu2FD2LMnG2P8Y3A+qk2EQgi2btlM/pnT3H3nHQghqutWBrUc8/n+oes62zZvIic3FyklVlsYbVJTSUhIIGfvHnb9vAuHw4HNFkaXrl0JtVq950op2bB+Pc8/+zeKiorof/tAli/7mtt698FsNqMoSo18OIPaQaUilFKi6zqnT51k9Zof+HHNGrr26Emz+OYAFOYX8OX/fUJxSSk3d+mOy+UiRMpy4vro3x+QmprGmTOneWzyFEaNGE637j0wm8+re4OrlEoVoSgKqqpyS/eexCcm8XZ4BEGqSqNG9ZFS0qhpU1qntyWjXXuuv+EGLBaLV4C6rrMyaznpba+jZ6/b2LZ1CyaTibtGjOTDD/7FqHv/UKMf0CDwOa9PqKoqZrOZhPjm9O7dh305e1m7Zi12u52N69fTNC6GtPQ0goODUdX/XUbXdRKuaUH/AQOJiY3FZDajmlQG3D6QG25sVyMfyqB2ccG+UVEUzCYTKa1acX2HDvy4fi0RUfUpKi4ms1NHQkJCKpxjMplo0bIlqqp6wzKKohJqC6FNaqrhDxpU4KKjY0VRiIyM5ObMTM6cPsOC2a8QabUSG9MUVTVV+n6TyVRObJ5j51pMAwMPVVKFyWSiectEUtLbEh3dhMSUFEJCQw2rZuATqiRCRVEIDQmhQWQ9Gjaqj80WYgjQwGdUuX9UUFAUBbf2DAEa+I4qibC0tJStWzaxc+cODh48xObNWygsLDKm4gx8QpUix5rmoqiggLi4OGJiY9BcAqfTifxNgNrA4HKokghttjC69exFl+49kFJiMpkqjIANDC6XKolQVVUjvGJQbRjKMvA7hggN/I4hQgO/Y4jQwO8YIjTwO4YIDfyOIUIDv2OI0MDvGCI08DuGCA38jiFCA79jiNDA7xgiNPA7hggN/I4hQgO/Y4jQwO8YIjTwO4YIDfyOIUIDv3PV1GnTNK1skZaKoqjGIq0A4qqwhLqu8926tdzety9btm5A13VjzXQAUedFKKVE0zR+2vBfzp7N54fv1uFyOf3dLINzuCpEmHckj2J7Ke0yM1mz+gdOnTxhWMIAos6L0OVysX3LZq5pmUD/gUM4cewo2dm7DBEGEHVehMdPnmT/4cMkJiVzXZtUmjePY9WKbyix2w0hBgh1WoRSSnL27EZRNOo3aIDFYuaGmzqz4b/rOXgwt8IGP0IIXC4XLpcLIYQh0hqizoZopJTkFxayaeMmvl+1gs0/bsJitvDr8WPkF+SzcdNWrk1MwWQyIaVESokQgmeefgp7cTHTps/0bnfheRlUD3VWhEII8g4dJMxmY/zER2ka1wxFcfuIC+fNZfOPG+l7W28aNmmCrusIIXj26acYPGQooaFW7r3nbpKSk3l86pOYTGZvESgD31Nnu+OCokLWrFtHmM1Gu/YdSEpOJjEpmaTkVvQddgeH9u1j67ZtbgFqGs8+/VcGDhpCalo61yYm8uqC1+narTv9buvF22++gRACTdMQQhj79PmYOmkJ7aUlZGVl8e+lS1FNJhQT3D5oKFarjZ9+yWb+9JnkF+Uzb+4c8vPz2ZO9i06ZmaS3bYvFYgGgXv363NylK1+v+IZ/vftPevfsxmOTp9C+Q0fCIyIwm81GpTIfoVTnzu9CCPr3vpUPPv4Eq9VaY92ZJ0DtdDpRVRWTScVsMqOoqteaCSFASgoLC3nvn0tp16EDnTJvqrDjlOe9Qghmz5jOju3bmDRlKmFhYSRccw2qqno3HzK4POqkJVQUBbPZ7ce5S2z/b2BhNpsxm81IKTl69Ff+89FHpLdty02db6508OHZ+sJiNjP5iakITeOpqVOw2+0MGTqMBlENaZPaxhDhFVAnRQicd0SrKAq6rnPi+HGWf/UVLVq2pEvXbhcUkaIooCiYpASzmedenEZpaSlzZ88kLCyMnL2/kJiUTGJSUrkfgEHVqJPd8cXIz89nyduLSUxKpk/ffpd9HSEEBw7s56vPP8flcgHuqrZ33XMPjRo19lVz6zxXlQh1XcflcjJ75gw6dOhI51u6eAcil4OUEl0IhK6TvXs3v/ySDRL27v0FR6mDv0yajNlkwhIUZMQZL0Cd7Y5/i2f73ImPjGfEPaPomJl5xX6coiiYzGZMQFp6Omnp6ei6zsYNGygsLGTi+HHEN2/O5Cee9IrQCHxX5KoRoWeEu2XTRmbOeaXa7qMoCjdkZKDrOvEJzfk1L48Rv7uDrt26c8/v7yU4OPiKrG9dpM4P6Txdpq7r3DdyBJ9/nVWt2194BiZBQUEkJSXTsVMmc19bgC0sjP639WLF8mVomuYNFXmmDD2zNpqmXXXB8DovQiEEZ4uLmfjIw7w8czYRkZHeOeGaICgoiKioKO4acQ8rvlvN5k0b6dnlZn7+aSenT5/2Znmv/u5but9yE++8tRhN02qkbYFCnRWhJyHh1MmTzJs7mzFjx9EkOrpsjUnN+WQey+h5PTp5Cp8vy2Lh/Nfo37sXe3/Zw4H9+8lo356HH/kzdrudosLCGmtfIFBnRajrOkcOH+ajf39Az163ktwqpcwC+vcjBwUFERoayuxX5tGxUyZzZs1k0cL5rF2zBpvNxk87d7B+/Tq/trGmqbMDk1/z8vjyi89IS7+OG2/M8E6v+RvPFJ/ZbOGlGbNwOBzkHTnM0iVL2LNnN1s3b6Zhw4a0bXs9jRo39s7YBELbq4s6K8I92bs5cfwE7e5rjznARqOKonjzGN94fSGaptGoUSMOHzqIy+Xi/ffexVHqID4hgdEPjsFisRgirE0IITh86BA7tm+n34ABASfA3/LOW4vRhHsgIjQNq9WKxWIhOiaG6Ohopk97kfDwCB54aKzXKvo76O9r6pQIpZQUFBSwaOF8ht89gtS09IC3IC/Pmo3QxP8OKGAxm0lNS8cWFkaTJtEUFhYw8ZGHuTGjHaN+f2+5gHegf76qUGdEqOs6DoeDSRMn8OTTz9CsWbOA/4JMJhOdb76lwlqWc33AzM6dcblcJCYls3PHdkaNuIvhd4/gtj59vBnftT2Dp1a3/rdB3kH9+/LSjFnEN2+OyRz4vy9FUbBYLAQFBZV7ebJwTCYTZrOZ0NBQEhMT6dOvP/PmL2TXzz/T79ZeZO/ejRCaN/it6+LiNw1AanUCg9A0iu12HKWljB87hjfeeoeQ0NA6OZr0zKycuyhr/Ngx7MnejclkZul77xMSEkJkvXq17rMHvrkAQKLrsmx2Qeds0Vny8o4ghOD1BfNZv24t737wIcEhIXXOaffw28QHBXjltQUIIXA6HTxw/x9o0bIl993/J+rVq0e9+vVrzRKEWiFCKd1VtdavXYNL09i2dQsLXp2HrusoikpGu3aE2cJqnQW4ElSTiaCyME9ISAjv/fsjdu/axewZL5OckkJaWjrp17WlUePAz2usFSIEt7O+5ofVCCEoKSkhNS2dHdu3oaoKY8Y9TJPo6Frxq/cVlY2Ok5KTmfXKq6xfu5YfVn/PkSOHCQsP59ZbexNUlr0TiD/UWukT7snOZtqLz1NaUkJRURFTnnyKzJs6++TadQUpJZ99+gm5OTkAWK1W7h/9QEC6K7XGEoK7Sz586CCzZryM1HUmTHyUD95/76qygFVFURT69OuPEIKsZV/jcDh48flnSUi4hqF33InFYgmYvMZaIkL3wKSosJApkx8DCU8/+zxxzZoR9J8gQ4TnwSO0AQMH4XA4iIqKIi/vCBPHj6P/7QPp23+A973+DH7Xiu5YCIHdbmfkXb8DJLPnvUZ8s3gkkuPHT1AvMhKrzebbxtcxPPFUu93OsWNHWZWVxTerVgLw4svTiWsa516qUI0Jv+cj4C2hJyY2qH8f7HY7X3ydRURkpDcYHRsb6+cW1g5UVUVVVSIjI4mMjCQ2NpZBQ4YCMPGRhzl27BhfLs9CSumNs1ZlPYyu6xUywRUFFBSUKsZrA16EQggeuP8+Tp44QeMmTQgLDw9I57q2YbXaCAkJBeCdf76HLgR9b+1Js2bxTJ81h5DQEKxW2wWftZSS4uJi7PZipMQdS8Mt+KCgIKw2G0FBQRdtS0CL0GMFH5/6JH976kkWLX7bL91FXcRjGaHsOSsKXyxbwf59uTz80IO079iRfv1vp3GTxoSHR5Szjh5KSx18+vHHfPzhB5w4eZIGDRoQHByMEILw8HDGTXiY9PQbLx4aktWIpmmyd8/usrCwUGqadsnn67out2zeJCf95c+yoKBACiGqoZUGUrqfta7rUgghnU6nXLkiSz70wJ/k4n8skt+uWiULCyt//k6nU65Y9rWcMG6c/CU7WzodDnngwAE5ZvQf5UOj/yhzcvZIIS783QfssFLTNDb+uIFvVq1k/ISJ2Gw2YxRcjXisnCdf8eZbujBrziuER0Sw+vtv+eKzz/jk449wOBxoLpfXDyyrkAJK2TVUlQZRDbilew9K7HZOnjjNxYa+Adsdb9r4I+vXrmXQ4KE0jYvzd3OuKrxdtcXC0Dvu9GZ7Hz9+jEUL5hMdG8OgwUPPaxSk0Dl7Jh+rzUZERNhF7xdwItQ0jS2bN7Fl82b6DRhAfPPm/m7SVYMs88G9pfPK0HXBwEGD0XWdHl06U79BFLt//pmOnTLp0rUbSPg17wivzZtLZL16aJqguOgs/QfcTtO4uIv68AElQs9DyM3JASm5NjHJ302q1ciyflBWMRSs6zqHDh5k5vSX3GufKznvpRmzATCZTcTFxaFLiQRCrVZuzGhHo8ZNcDod/PDdd6xbt5aEFi1JTLrw9xgwIvQEU3/auYPcnBzuHz3a302q9Zxr1X4by/vk44/47NNPyh1TFIWY2FgefmSCe2lsJQYsIeEa73tVVUUIgQJERESS0a498QkJCCEICQnlrTcW8e2qVTSNjSU8MvK87QwIEcqyDOmDBw6wdMk7PPPcC1htVn8367KRZYmn4LsCSJ5e4lIQQvDQA38iN2cvUi9v1e4YPpy5r84vd8wT3wsLD69QsfZC9xC6DhLUMmEqikJMTDTW0BCOHj2CvbQ4sEUoy0r7njp5kuee+SuL3ny7Rst0+BrP5zl79iwKEBYWhskHn8fpcJBfkF9BTADDhw2peIICJtXE/EX/oEXLa6t0/0vdLkNKSUlZxQh7iZ38gnxsJ09SXHyWJW+/xdETpxh290iioi6c0+hXEXqmfA7s38cLzz7DojffKhdEra0cOniAe0eOQFVVXl3wOmHh4TRtGofFYvHWnjnfTqNnTp+moLCgwvED+/fz5qKFlYY7Pl+WVeGYAt654OpaDFVa6uCzTz/l6y8/p6S0lGkvvuBdTx1qtfHHB8bQo0ePi97bryIUQrB92zb+9e5SFr6xGLM5MJMuLwUpJUuXLCG5VQqlJSX8buhgUlq34W/PvUBqWhq6EOzcucNdDElUrL61fdtW9mTvrnD82qQk/vn+h5f0fKo7MyY0NIQRo0Zx98iR5dwPcD+HqlpWv4nQ4+PMmv4Sc+a95p2Oq00ilOdUatV1nS2bNpGbm0N88+bExcXhcDrYtPFHtm/bysvTXmTQkCEgYf/+fRQXF0MlVq1Lt248OHZcheOe9SKB9nx88Z351RJmLV9Gx06ZhFpDq+wIBxK6rnPg4AFvzeoVWcvZuWM74BbNg2PHMXDwEN5/710K8s9w8MABLBYLQ4fdSVyzZkYiRhl++eZdLhdff/Ulp0+d4q4R92C1+j8XUEqJy+VE0yqOQP+7fh0/fP99xZMU98CjefMEUGDUvfeV2/WpW/ceTHvhOa5r25bHJj/BDRkZ3n1Varvf60tqVISe0MWKrOXkHTnC4CFDadioUbXc59y/VT1n9owZ7MvNqfC/Vimt6ZR5U4XjJpPq3cfEbLZ4r6NpGpMfncg3K1dw/Pgxpk2fSes2qbXS2tcENfpUhBB89+035O7dy/ARI6hfv4HP7+EJeguhITRRmdvF/b8fWeGYoiiMHvMQg4cNq/C/epHudbyVnfNbP81TcWvc+EdwuVwEBQfTrFm8YfkuQI2IUEqJ0DR27NjONytXMvmJqYSHh1f53HNfF3+/TvbubB4ZOwahi0qd/399+HGFY4qqUK9efYKDg6vUrguhqiotWl57xdcJJDwDSc/Mi0lVfVZqpUZEqAvBvn37WLRgPq8uXHRJDrkQgqKiIlxOZ4Wpp/ffe5f/fPRhuWOKqpCU3Iovs1ZesuNvDBTOjxCCE8eP07tnNxKTknn9zcU0aBDlk9F6tYtQ13VcmotDBw8Q1bBhpUFaXdfZl5uDrkvONV1Sui3ba/Ne4fixYxXOGzLsDj7+7Ityxzz5cLoQl/yArraq+ZeCEIKxD44mOjqGHdu38difJ/Dci9NoEh19xb5uta620zSN3j27MW78BKa/9HemPvW0e3ejc2bGpdRxaRqPThiPy+WqIDSz2cykKU8Q2zQOtSr1phX+t6liZTPwBpeFRCJ1nVOnTvHklMmoqokePXsyacoTV+x6VPuSzz69uvNrXh4AjZs0oUvX7uUslKQs4Fv2Orc1igKqasJkUsuC2YZz729cLid2u528I0fYsnkTk6ZM5b77/3hF16z27nj43fdQWOCeC20WH8+QYXcEXNTfoOoUFhTwzluLcTgctG6TSps2qVd8zWq1hFJKNJfLneoD3qKPhghrH5qm8fwzf6OgIJ8Vy5fTuk0bHp38ONe1vb5KyzovRLWJ8Lchldo2L2xQHqfTSUbbNErsdq65pgV/nz6Dttff4JP62T4XoZQSicTldKG5XEjcMwsWS5CxZrgWI4Rg966fcTqdmM0W4po1864nVlWVIIvlsuOGPhWhJ6B55NhRFsyZw4b16xC6jtls4vm/P0dGu85Gd1xLkVJSVFTE1EmPsnXrVrdxKZsFap12HZMef5z4+PjLy/SpwrroKqHrunQ5nXLFsq/k8CGD5NIli2VhYYF0Op1yw9bNsl+vXnLunFdkaUmJsYi9lqLruiwoLJBzF8yXYx8cLQ8eypVbd+6Qo0aOkHcOHSJ/yc6+rCIHPot5CCHYvXsXn/7nE9p16sBtffoRFuZeq5DeqjXjJj3Kmm9XkrV8GZrL5avbGtQgijf2KlEU90AzqUULevfqSVF+Pntzd11WwN9nIiwpLWXbtu2cOnWKlNZphIVFeJ1Wk8lEcotraRAVxZrVP5Cff9pXtzXwMybVRKPG0ehScOrUiUvKXPLgMxE6XU6OnTyB1WYlOjqm3FSOoihEREQQFxfH6dMnKDp7dW2lWpfwFN8SQuBwODhTkE9uTg4hIVZimjS9rGwhnwWrpZRoQkNKKk1vUlT3fJrQa++mLwZupNTZv28fS99ZgktIsn/6mR69bqXt9e39K8LgoGBiG0ezo3Qjx44epVWrVt6sFCklLqeTs0WFNIxqQkR4PV/d1sAPKIqC1WqjadM4wsMj6dQxk4yMjMveyMdnIgwJCqZ1SivWrf6ePXt2kdE+A0tZJF0IQXZODkcO5zFg8BAiIismiBoEPm5/z+3zRcdEc1uf3sTExKGqV5YC5zOf0GQ2kdImlb79+7Fxwwayln/F6dOnKC4uZtuun1g4Zy7XZbTn1t69fZI4alCzyLKVhZrmzlh3uVzuMnGVrMm5VHw+Y1JSUsLWnTt4/bV55O7ZAyjYbGE888IzpKSkExZ2de28VFeQZcHqKY9N5L8bNoAuSU5pzdjxE8jM7HRF1/a5CCsrpO2hLlRXuJqR5+yqem5RzSv9Tqs1i8bAoCoYZsnA7xgiNPA7hggN/I4hQgO/Y4jQwO8YIjTwO4YIDfyOIUIDv2OI0MDvGCI08DuGCA38jiFCA7/z/5LgezwTWYaVAAAAAElFTkSuQmCC)
The displacement vector is represented by
![](data:image/png;base64,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)
physics-General
physics-
True vector are shown in figure find the correct options
![](data:image/png;base64,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)
True vector are shown in figure find the correct options
![](data:image/png;base64,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)
physics-General
physics-
The vector are shown as following figure find the correct statement
![](data:image/png;base64,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)
The vector are shown as following figure find the correct statement
![](data:image/png;base64,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)
physics-General
physics-
Which of the following is equal to ![sec to the power of 2 end exponent invisible function application theta plus text cose end text text c end text to the power of 2 end exponent theta](data:image/png;base64,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)
Which of the following is equal to ![sec to the power of 2 end exponent invisible function application theta plus text cose end text text c end text to the power of 2 end exponent theta](data:image/png;base64,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)
physics-General
physics-
Which of the following is equal to ![open parentheses 1 minus sin to the power of 2 end exponent invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta](data:image/png;base64,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)
Which of the following is equal to ![open parentheses 1 minus sin to the power of 2 end exponent invisible function application theta close parentheses sec to the power of 2 end exponent invisible function application theta](data:image/png;base64,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)
physics-General
physics-
Which of the following is equal to cosec2
Which of the following is equal to cosec2
physics-General
physics-
Value of sin20° + cos20°
Value of sin20° + cos20°
physics-General
physics-
Value of
find the value of sin20O +cos20O
Value of
find the value of sin20O +cos20O
physics-General
physics-
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
physics-General
physics-
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
The density of a material is 8 g/cc. In a unit system in which the unit length is 5 cm and unit mass is 20g, what is the density of the material?
physics-General
maths-
In the given figure, if
and
then the values of x and y respectively are
![](data:image/png;base64,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)
In the given figure, if
and
then the values of x and y respectively are
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if lines PQ and RS intersect at point T, such that
and ![text end text angle T S Q equals 75 to the power of ring operator end exponent comma text then end text angle S Q T](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure, if lines PQ and RS intersect at point T, such that
and ![text end text angle T S Q equals 75 to the power of ring operator end exponent comma text then end text angle S Q T](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if
and
, then DCE is
![](data:image/png;base64,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)
In the given figure, if
and
, then DCE is
![](data:image/png;base64,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)
maths-General
maths-
In the given
If YO and ZO are the bisectors of ÐXYZ and ÐXZY respectively, then ÐOZY and ÐYOZ are
![](data:image/png;base64,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)
In the given
If YO and ZO are the bisectors of ÐXYZ and ÐXZY respectively, then ÐOZY and ÐYOZ are
![](data:image/png;base64,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)
maths-General